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Liouville's theorem

In physics, Liouville's theorem, named after the French mathematician Joseph Liouville, is a key theorem in classical statistical and Hamiltonian mechanics. It asserts that the phase-space distribution function is constant along the trajectories of the system—that is that the density of system points in the vicinity of a given system point traveling through phase-space is constant with time. This time-independent density is in statistical mechanics known as the classical a priori probability. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Liouville%27s_theorem_(Hamiltonian))

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